{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "特征值分析\n",
    "\n",
    "ID：每个房子特有的号码\n",
    "\n",
    "Address：房子地址\n",
    "\n",
    "Sold Price：房子实际出售的价格，在测试集中是需要预测的部分\n",
    "\n",
    "Summary：房子信息的摘要\n",
    "\n",
    "Type：房子类型\n",
    "\n",
    "Year Built：房子建造年份\n",
    "\n",
    "Heating：供暖设施\n",
    "\n",
    "Cooling：供冷设施\n",
    "\n",
    "Parking：停车区域\n",
    "\n",
    "Lot：占用土地\n",
    "\n",
    "Bedrooms：卧室数\n",
    "\n",
    "Bathrooms:浴室数\n",
    "\n",
    "Full Bathrooms：完整的浴室数\n",
    "\n",
    "Total interior livable area：总内部可居住面积\n",
    "\n",
    "Total spaces：总空间\n",
    "\n",
    "Garage spaces：车库空间\n",
    "\n",
    "Region：行政区\n",
    "\n",
    "Elementary School、score、distance：小学名称，分数和距离\n",
    "\n",
    "Middle School、score、distance：初中名称，分数和距离\n",
    "\n",
    "High School、score、distance：高中名称，分数和距离\n",
    "\n",
    "Flooring：地板\n",
    "\n",
    "Heating features：加热功能\n",
    "\n",
    "Cooling features：降热功能\n",
    "\n",
    "Appliances included：包含的设备\n",
    "\n",
    "Laundry features：洗衣功能\n",
    "\n",
    "Parking features：停车功能\n",
    "\n",
    "Tax assessed value：税财产评估\n",
    "\n",
    "Annual tax amount：年纳税额\n",
    "\n",
    "Listed On：列入名单的日期\n",
    "\n",
    "Listed Price：标明价格（不是最终买的价格，房子还需要拍卖起价）\n",
    "\n",
    "Last Sold On：上次出售的日期\n",
    "\n",
    "Last Sold Price：上次出售的价格\n",
    "\n",
    "City：城市\n",
    "\n",
    "Zip：邮编\n",
    "\n",
    "State：所在州"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "导入依赖包"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 68,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import pandas as pd\n",
    "import torch\n",
    "from torch import nn\n",
    "from d2l import torch as d2l\n",
    "\n",
    "import hashlib\n",
    "import os\n",
    "import tarfile\n",
    "import zipfile\n",
    "import requests\n",
    "import seaborn as sns\n",
    "from matplotlib import pyplot as plt"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 69,
   "metadata": {},
   "outputs": [],
   "source": [
    "loss = nn.MSELoss()\n",
    "DATA_HUB = dict()\n",
    "DATA_URL = 'http://d2l-data.s3-accelerate.amazonaws.com/'\n",
    "DATA_HUB['kaggle_house_train'] = (  #@save\n",
    "    DATA_URL + 'kaggle_house_pred_train.csv',\n",
    "    '585e9cc93e70b39160e7921475f9bcd7d31219ce')\n",
    "\n",
    "DATA_HUB['kaggle_house_test'] = (  #@save\n",
    "    DATA_URL + 'kaggle_house_pred_test.csv',\n",
    "    'fa19780a7b011d9b009e8bff8e99922a8ee2eb90')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 70,
   "metadata": {},
   "outputs": [],
   "source": [
    "# 加载训练和测试数据\n",
    "def load_data():\n",
    "    train_data = pd.read_csv(\"./data/california-housing-prices/train.csv\")\n",
    "    test_data = pd.read_csv(\"./data/california-housing-prices/test.csv\")\n",
    "    return train_data, test_data\n",
    "def download_extract(name, folder=None):  #@save\n",
    "    \"\"\"下载并解压zip/tar文件\"\"\"\n",
    "    fname = download(name)\n",
    "    base_dir = os.path.dirname(fname)\n",
    "    data_dir, ext = os.path.splitext(fname)\n",
    "    if ext == '.zip':\n",
    "        fp = zipfile.ZipFile(fname, 'r')\n",
    "    elif ext in ('.tar', '.gz'):\n",
    "        fp = tarfile.open(fname, 'r')\n",
    "    else:\n",
    "        assert False, '只有zip/tar文件可以被解压缩'\n",
    "    fp.extractall(base_dir)\n",
    "    return os.path.join(base_dir, folder) if folder else data_dir\n",
    "\n",
    "def download_all():  #@save\n",
    "    \"\"\"下载DATA_HUB中的所有文件\"\"\"\n",
    "    for name in DATA_HUB:\n",
    "        download(name)\n",
    "\n",
    "def download(name, cache_dir=os.path.join('..', 'data')):  #@save\n",
    "    \"\"\"下载一个DATA_HUB中的文件，返回本地文件名\"\"\"\n",
    "    assert name in DATA_HUB, f\"{name} 不存在于 {DATA_HUB}\"\n",
    "    url, sha1_hash = DATA_HUB[name]\n",
    "    os.makedirs(cache_dir, exist_ok=True)\n",
    "    fname = os.path.join(cache_dir, url.split('/')[-1])\n",
    "    if os.path.exists(fname):\n",
    "        sha1 = hashlib.sha1()\n",
    "        with open(fname, 'rb') as f:\n",
    "            while True:\n",
    "                data = f.read(1048576)\n",
    "                if not data:\n",
    "                    break\n",
    "                sha1.update(data)\n",
    "        if sha1.hexdigest() == sha1_hash:\n",
    "            return fname  # 命中缓存\n",
    "    print(f'正在从{url}下载{fname}...')\n",
    "    r = requests.get(url, stream=True, verify=True)\n",
    "    with open(fname, 'wb') as f:\n",
    "        f.write(r.content)\n",
    "    return fname"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 71,
   "metadata": {},
   "outputs": [],
   "source": [
    "# 分析特征数据缺失的比例\n",
    "def analyze_missing_data(train_data):\n",
    "    total = train_data.isnull().sum().sort_values(ascending=False)\n",
    "    print(train_data.isnull().sum(), train_data.isnull().count())\n",
    "    percent = (train_data.isnull().sum()/train_data.isnull().count()).sort_values(ascending=False)\n",
    "    missing_data = pd.concat([total, percent], axis=1, keys=['Total', 'Percent'])\n",
    "    print(missing_data.head(20))\n",
    "    return missing_data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 72,
   "metadata": {},
   "outputs": [],
   "source": [
    "# 处理 Bedrooms 列，计算数量\n",
    "def convert_bedrooms(bedrooms):\n",
    "  # 尝试转换为数字\n",
    "  try:\n",
    "  # 如果是纯数字字符串，返回它的浮点数形式\n",
    "     return float(bedrooms)\n",
    "  except ValueError:\n",
    "     # 如果不是数字字符串，尝试分割字符串并计算总和\n",
    "     values = bedrooms.split(',')  # 用,分开\n",
    "     return len(values)\n",
    "    \n",
    "def convert_parking(parking):\n",
    "    if isinstance(parking, float):\n",
    "        return parking\n",
    "    if parking == \"0 spaces\":\n",
    "        return 0\n",
    "    else:\n",
    "        values = parking.split(\",\")\n",
    "        return len(values)\n",
    "\n",
    "def convert_heating(heating):\n",
    "   if heating == 'None' :\n",
    "       return 1\n",
    "   elif isinstance(heating, float):\n",
    "       return heating\n",
    "   else:\n",
    "      values = heating.split(',')\n",
    "      return len(values)\n",
    "\n",
    "def convert_appliance(appliances):\n",
    "  if isinstance(appliances, float):\n",
    "       return appliances\n",
    "  else:\n",
    "    values = appliances.split(',')\n",
    "    return len(values)\n",
    "        "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 73,
   "metadata": {},
   "outputs": [],
   "source": [
    "# 分析数字类型的特征与价格的关联关系\n",
    "def get_num_feature(train_data):\n",
    "    numeric_cols = train_data.select_dtypes(include=np.number).columns\n",
    "    print(numeric_cols)\n",
    "    corrmat = train_data[numeric_cols].corr()\n",
    "    f, ax = plt.subplots(figsize=(12, 9))\n",
    "    sns.heatmap(corrmat, vmax=1.0, square=True)\n",
    "    plt.show()\n",
    "    k = 10\n",
    "    cols = corrmat.nlargest(k, 'Sold Price')['Sold Price'].index\n",
    "    cm = np.corrcoef(train_data[cols].values.T)\n",
    "    sns.set(font_scale=1.25)\n",
    "    hm = sns.heatmap(cm, cbar=True, annot=True, square=True, fmt='.2f', annot_kws={'size': 10}, yticklabels=cols.values, xticklabels=cols.values)\n",
    "    plt.xticks(rotation = 90)\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 74,
   "metadata": {},
   "outputs": [],
   "source": [
    "\n",
    "def get_net(input_size):\n",
    "    # net = nn.Sequential(\n",
    "    #         nn.Linear(input_size, 2048),\n",
    "    #         nn.ReLU(),\n",
    "    #         nn.Linear(2048, 1024),\n",
    "    #         nn.ReLU(),\n",
    "    #         nn.Linear(1024, 512),\n",
    "    #         nn.ReLU(),\n",
    "    #         nn.Linear(512, 256),\n",
    "    #         nn.ReLU(),\n",
    "    #         nn.Linear(256, 128),\n",
    "    #         nn.ReLU(),\n",
    "    #         nn.Linear(128, 64),\n",
    "    #         nn.ReLU(),\n",
    "    #         nn.Linear(64, 1),\n",
    "    #         nn.ReLU()\n",
    "    #     )\n",
    "    net = nn.Sequential(\n",
    "        nn.Flatten(),\n",
    "        nn.Linear(input_size, 2048),\n",
    "        nn.ReLU(),\n",
    "        nn.Linear(2048, 1024),\n",
    "        nn.ReLU(),\n",
    "        nn.Linear(1024, 512),\n",
    "        nn.ReLU(),\n",
    "        nn.Linear(512, 256),\n",
    "        nn.ReLU(),\n",
    "        nn.Linear(256, 128),\n",
    "        nn.ReLU(),\n",
    "        nn.Linear(128, 64),\n",
    "        nn.ReLU(),\n",
    "        nn.Linear(64, 1)\n",
    "    )\n",
    "    return net\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 75,
   "metadata": {},
   "outputs": [],
   "source": [
    "def train(net, train_features, train_labels, test_features, test_labels,\n",
    "          num_epochs, learning_rate, weight_decay, batch_size):\n",
    "    train_ls, test_ls = [], []\n",
    "    train_iter = d2l.load_array((train_features, train_labels), batch_size)\n",
    "    # 这里使用的是Adam优化算法\n",
    "    optimizer = torch.optim.Adam(net.parameters(),\n",
    "                                 lr = learning_rate,\n",
    "                                 weight_decay = weight_decay)\n",
    "    for epoch in range(num_epochs):\n",
    "        for X, y in train_iter:\n",
    "            optimizer.zero_grad()\n",
    "            l = loss(net(X), y)\n",
    "            l.backward()\n",
    "            optimizer.step()\n",
    "        train_ls.append(log_rmse(net, train_features, train_labels))\n",
    "        if test_labels is not None:\n",
    "            test_ls.append(log_rmse(net, test_features, test_labels))\n",
    "    return train_ls, test_ls"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 76,
   "metadata": {},
   "outputs": [],
   "source": [
    "def log_rmse(net, features, labels):\n",
    "    # 为了在取对数时进一步稳定该值，将小于1的值设置为1\n",
    "    clipped_preds = torch.clamp(net(features), 1, float('inf'))\n",
    "    rmse = torch.sqrt(loss(torch.log(clipped_preds),\n",
    "                           torch.log(labels)))\n",
    "    return rmse.item()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 77,
   "metadata": {},
   "outputs": [],
   "source": [
    "def get_k_fold_data(k, i, X, y):\n",
    "    assert k > 1\n",
    "    fold_size = X.shape[0] // k\n",
    "    X_train, y_train = None, None\n",
    "    for j in range(k):\n",
    "        idx = slice(j * fold_size, (j + 1) * fold_size)\n",
    "        X_part, y_part = X[idx, :], y[idx]\n",
    "        if j == i:\n",
    "            X_valid, y_valid = X_part, y_part\n",
    "        elif X_train is None:\n",
    "            X_train, y_train = X_part, y_part\n",
    "        else:\n",
    "            X_train = torch.cat([X_train, X_part], 0)\n",
    "            y_train = torch.cat([y_train, y_part], 0)\n",
    "    return X_train, y_train, X_valid, y_valid\n",
    "\n",
    "\n",
    "def k_fold(k, X_train, y_train, num_epochs, learning_rate, weight_decay,\n",
    "           batch_size):\n",
    "    train_l_sum, valid_l_sum = 0, 0\n",
    "    for i in range(k):\n",
    "        data = get_k_fold_data(k, i, X_train, y_train)\n",
    "        net = get_net(X_train.shape[1])\n",
    "        train_ls, valid_ls = train(net, *data, num_epochs, learning_rate,\n",
    "                                   weight_decay, batch_size)\n",
    "        train_l_sum += train_ls[-1]\n",
    "        valid_l_sum += valid_ls[-1]\n",
    "        if i == 0:\n",
    "            d2l.plot(list(range(1, num_epochs + 1)), [train_ls, valid_ls],\n",
    "                     xlabel='epoch', ylabel='rmse', xlim=[1, num_epochs],\n",
    "                     legend=['train', 'valid'], yscale='log')\n",
    "        print(f'折{i + 1}，训练log rmse{float(train_ls[-1]):f}, '\n",
    "              f'验证log rmse{float(valid_ls[-1]):f}')\n",
    "    return train_l_sum / k, valid_l_sum / k"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 78,
   "metadata": {},
   "outputs": [],
   "source": [
    "def train_and_pred(train_features, test_features, train_labels, test_data,\n",
    "                   num_epochs, lr, weight_decay, batch_size):\n",
    "    net = get_net(train_features.shape[1])\n",
    "    train_ls, _ = train(net, train_features, train_labels, None, None,\n",
    "                        num_epochs, lr, weight_decay, batch_size)\n",
    "    d2l.plot(np.arange(1, num_epochs + 1), [train_ls], xlabel='epoch',\n",
    "             ylabel='log rmse', xlim=[1, num_epochs], yscale='log')\n",
    "    print(f'训练log rmse：{float(train_ls[-1]):f}')\n",
    "    # 将网络应用于测试集。\n",
    "    preds = net(test_features).detach().numpy()\n",
    "    # 将其重新格式化以导出到Kaggle\n",
    "    test_data['SalePrice'] = pd.Series(preds.reshape(1, -1)[0])\n",
    "    submission = pd.concat([test_data['Id'], test_data['SalePrice']], axis=1)\n",
    "    submission.to_csv('submission.csv', index=False)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 79,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Id                                 0\n",
      "Address                            0\n",
      "Sold Price                         0\n",
      "Summary                          354\n",
      "Type                               0\n",
      "Year built                      1045\n",
      "Heating                         6852\n",
      "Cooling                        20694\n",
      "Parking                         1374\n",
      "Lot                            14181\n",
      "Bedrooms                        2872\n",
      "Bathrooms                       3465\n",
      "Full bathrooms                  7865\n",
      "Total interior livable area     2526\n",
      "Total spaces                     916\n",
      "Garage spaces                    917\n",
      "Region                             2\n",
      "Elementary School               4742\n",
      "Elementary School Score         4896\n",
      "Elementary School Distance      4742\n",
      "Middle School                  16704\n",
      "Middle School Score            16705\n",
      "Middle School Distance         16704\n",
      "High School                     5000\n",
      "High School Score               5219\n",
      "High School Distance            5001\n",
      "Flooring                       11569\n",
      "Heating features                7693\n",
      "Cooling features               22223\n",
      "Appliances included            13593\n",
      "Laundry features               14611\n",
      "Parking features                4775\n",
      "Tax assessed value              3652\n",
      "Annual tax amount               4310\n",
      "Listed On                          0\n",
      "Listed Price                       0\n",
      "Last Sold On                   17766\n",
      "Last Sold Price                17766\n",
      "City                               0\n",
      "Zip                                0\n",
      "State                              0\n",
      "dtype: int64 Id                             47439\n",
      "Address                        47439\n",
      "Sold Price                     47439\n",
      "Summary                        47439\n",
      "Type                           47439\n",
      "Year built                     47439\n",
      "Heating                        47439\n",
      "Cooling                        47439\n",
      "Parking                        47439\n",
      "Lot                            47439\n",
      "Bedrooms                       47439\n",
      "Bathrooms                      47439\n",
      "Full bathrooms                 47439\n",
      "Total interior livable area    47439\n",
      "Total spaces                   47439\n",
      "Garage spaces                  47439\n",
      "Region                         47439\n",
      "Elementary School              47439\n",
      "Elementary School Score        47439\n",
      "Elementary School Distance     47439\n",
      "Middle School                  47439\n",
      "Middle School Score            47439\n",
      "Middle School Distance         47439\n",
      "High School                    47439\n",
      "High School Score              47439\n",
      "High School Distance           47439\n",
      "Flooring                       47439\n",
      "Heating features               47439\n",
      "Cooling features               47439\n",
      "Appliances included            47439\n",
      "Laundry features               47439\n",
      "Parking features               47439\n",
      "Tax assessed value             47439\n",
      "Annual tax amount              47439\n",
      "Listed On                      47439\n",
      "Listed Price                   47439\n",
      "Last Sold On                   47439\n",
      "Last Sold Price                47439\n",
      "City                           47439\n",
      "Zip                            47439\n",
      "State                          47439\n",
      "dtype: int64\n",
      "                         Total   Percent\n",
      "Cooling features         22223  0.468454\n",
      "Cooling                  20694  0.436223\n",
      "Last Sold On             17766  0.374502\n",
      "Last Sold Price          17766  0.374502\n",
      "Middle School Score      16705  0.352136\n",
      "Middle School Distance   16704  0.352115\n",
      "Middle School            16704  0.352115\n",
      "Laundry features         14611  0.307996\n",
      "Lot                      14181  0.298931\n",
      "Appliances included      13593  0.286536\n",
      "Flooring                 11569  0.243871\n",
      "Full bathrooms            7865  0.165792\n",
      "Heating features          7693  0.162166\n",
      "Heating                   6852  0.144438\n",
      "High School Score         5219  0.110015\n",
      "High School Distance      5001  0.105420\n",
      "High School               5000  0.105399\n",
      "Elementary School Score   4896  0.103206\n",
      "Parking features          4775  0.100656\n",
      "Elementary School         4742  0.099960\n"
     ]
    },
    {
     "data": {
      "text/html": [
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       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Total</th>\n",
       "      <th>Percent</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>Cooling features</th>\n",
       "      <td>22223</td>\n",
       "      <td>0.468454</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Cooling</th>\n",
       "      <td>20694</td>\n",
       "      <td>0.436223</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Last Sold On</th>\n",
       "      <td>17766</td>\n",
       "      <td>0.374502</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Last Sold Price</th>\n",
       "      <td>17766</td>\n",
       "      <td>0.374502</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Middle School Score</th>\n",
       "      <td>16705</td>\n",
       "      <td>0.352136</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Middle School Distance</th>\n",
       "      <td>16704</td>\n",
       "      <td>0.352115</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Middle School</th>\n",
       "      <td>16704</td>\n",
       "      <td>0.352115</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Laundry features</th>\n",
       "      <td>14611</td>\n",
       "      <td>0.307996</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Lot</th>\n",
       "      <td>14181</td>\n",
       "      <td>0.298931</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Appliances included</th>\n",
       "      <td>13593</td>\n",
       "      <td>0.286536</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Flooring</th>\n",
       "      <td>11569</td>\n",
       "      <td>0.243871</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Full bathrooms</th>\n",
       "      <td>7865</td>\n",
       "      <td>0.165792</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Heating features</th>\n",
       "      <td>7693</td>\n",
       "      <td>0.162166</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Heating</th>\n",
       "      <td>6852</td>\n",
       "      <td>0.144438</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>High School Score</th>\n",
       "      <td>5219</td>\n",
       "      <td>0.110015</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>High School Distance</th>\n",
       "      <td>5001</td>\n",
       "      <td>0.105420</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>High School</th>\n",
       "      <td>5000</td>\n",
       "      <td>0.105399</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Elementary School Score</th>\n",
       "      <td>4896</td>\n",
       "      <td>0.103206</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Parking features</th>\n",
       "      <td>4775</td>\n",
       "      <td>0.100656</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Elementary School</th>\n",
       "      <td>4742</td>\n",
       "      <td>0.099960</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Elementary School Distance</th>\n",
       "      <td>4742</td>\n",
       "      <td>0.099960</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Annual tax amount</th>\n",
       "      <td>4310</td>\n",
       "      <td>0.090854</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Tax assessed value</th>\n",
       "      <td>3652</td>\n",
       "      <td>0.076983</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Bathrooms</th>\n",
       "      <td>3465</td>\n",
       "      <td>0.073041</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Bedrooms</th>\n",
       "      <td>2872</td>\n",
       "      <td>0.060541</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Total interior livable area</th>\n",
       "      <td>2526</td>\n",
       "      <td>0.053247</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Parking</th>\n",
       "      <td>1374</td>\n",
       "      <td>0.028964</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Year built</th>\n",
       "      <td>1045</td>\n",
       "      <td>0.022028</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Garage spaces</th>\n",
       "      <td>917</td>\n",
       "      <td>0.019330</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Total spaces</th>\n",
       "      <td>916</td>\n",
       "      <td>0.019309</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Summary</th>\n",
       "      <td>354</td>\n",
       "      <td>0.007462</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Region</th>\n",
       "      <td>2</td>\n",
       "      <td>0.000042</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Listed Price</th>\n",
       "      <td>0</td>\n",
       "      <td>0.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Zip</th>\n",
       "      <td>0</td>\n",
       "      <td>0.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>City</th>\n",
       "      <td>0</td>\n",
       "      <td>0.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Id</th>\n",
       "      <td>0</td>\n",
       "      <td>0.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Listed On</th>\n",
       "      <td>0</td>\n",
       "      <td>0.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Address</th>\n",
       "      <td>0</td>\n",
       "      <td>0.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Type</th>\n",
       "      <td>0</td>\n",
       "      <td>0.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Sold Price</th>\n",
       "      <td>0</td>\n",
       "      <td>0.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>State</th>\n",
       "      <td>0</td>\n",
       "      <td>0.000000</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                             Total   Percent\n",
       "Cooling features             22223  0.468454\n",
       "Cooling                      20694  0.436223\n",
       "Last Sold On                 17766  0.374502\n",
       "Last Sold Price              17766  0.374502\n",
       "Middle School Score          16705  0.352136\n",
       "Middle School Distance       16704  0.352115\n",
       "Middle School                16704  0.352115\n",
       "Laundry features             14611  0.307996\n",
       "Lot                          14181  0.298931\n",
       "Appliances included          13593  0.286536\n",
       "Flooring                     11569  0.243871\n",
       "Full bathrooms                7865  0.165792\n",
       "Heating features              7693  0.162166\n",
       "Heating                       6852  0.144438\n",
       "High School Score             5219  0.110015\n",
       "High School Distance          5001  0.105420\n",
       "High School                   5000  0.105399\n",
       "Elementary School Score       4896  0.103206\n",
       "Parking features              4775  0.100656\n",
       "Elementary School             4742  0.099960\n",
       "Elementary School Distance    4742  0.099960\n",
       "Annual tax amount             4310  0.090854\n",
       "Tax assessed value            3652  0.076983\n",
       "Bathrooms                     3465  0.073041\n",
       "Bedrooms                      2872  0.060541\n",
       "Total interior livable area   2526  0.053247\n",
       "Parking                       1374  0.028964\n",
       "Year built                    1045  0.022028\n",
       "Garage spaces                  917  0.019330\n",
       "Total spaces                   916  0.019309\n",
       "Summary                        354  0.007462\n",
       "Region                           2  0.000042\n",
       "Listed Price                     0  0.000000\n",
       "Zip                              0  0.000000\n",
       "City                             0  0.000000\n",
       "Id                               0  0.000000\n",
       "Listed On                        0  0.000000\n",
       "Address                          0  0.000000\n",
       "Type                             0  0.000000\n",
       "Sold Price                       0  0.000000\n",
       "State                            0  0.000000"
      ]
     },
     "execution_count": 79,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "train_data, test_data = load_data()\n",
    "missing_data = analyze_missing_data(train_data=train_data)\n",
    "missing_data\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 80,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(47439, 41)\n",
      "(47439, 39)\n"
     ]
    }
   ],
   "source": [
    "print(train_data.shape)\n",
    "# 删除数据缺失大于0.4的列\n",
    "train_data.drop(missing_data[missing_data[\"Percent\"] > 0.4].index, axis=1, inplace=True)\n",
    "print(train_data.shape)\n",
    "train_data[\"Bedrooms\"].apply(convert_bedrooms)\n",
    "# 对于数字类型补充众数\n",
    "train_data[\"Bedrooms\"] = train_data[\"Bedrooms\"].fillna(2.0)\n",
    "train_data['Bathrooms'] = train_data['Bathrooms'].fillna(train_data['Full bathrooms'])\n",
    "train_data['Bathrooms'] = train_data['Bathrooms'].fillna(2.0)\n",
    "train_data['Full bathrooms'] = train_data['Full bathrooms'].fillna(train_data['Bathrooms'])\n",
    "train_data['Full bathrooms'] = train_data['Full bathrooms'].fillna(train_data['Full bathrooms'].mode())\n",
    "train_data['Elementary School Score'] = train_data['Elementary School Score'].fillna(train_data['Elementary School Score'].mode().values[0])\n",
    "train_data['High School Score'] = train_data['High School Score'].fillna(train_data['High School Score'].mode())\n",
    "train_data['Tax assessed value'] = train_data['Tax assessed value'].fillna(train_data['Listed Price'] * 0.66)\n",
    "train_data['Parking'].apply(convert_parking)\n",
    "train_data[\"Parking\"] = train_data[\"Parking\"].fillna(0)\n",
    "train_data['Heating'] = train_data['Heating'].apply(convert_heating)\n",
    "train_data['Appliances included'] = train_data['Appliances included'].apply(convert_appliance)\n",
    "train_data['Appliances included'] = train_data['Appliances included'].fillna(train_data['Appliances included'].mode().values[0])\n",
    "# train_data['Cooling'] = train_data['Cooling'].fillna(train_data['Cooling'].mode().values[0])\n",
    "# 新特征提取\n",
    "train_data['Listed On'] = 2025  - pd.to_datetime(train_data['Listed On']).dt.year\n",
    "# train_data['Cooling'].mode().values[0]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 81,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Index(['Id', 'Sold Price', 'Year built', 'Heating', 'Lot', 'Bathrooms',\n",
      "       'Full bathrooms', 'Total interior livable area', 'Total spaces',\n",
      "       'Garage spaces', 'Elementary School Score',\n",
      "       'Elementary School Distance', 'Middle School Score',\n",
      "       'Middle School Distance', 'High School Score', 'High School Distance',\n",
      "       'Appliances included', 'Tax assessed value', 'Annual tax amount',\n",
      "       'Listed On', 'Listed Price', 'Last Sold Price', 'Zip'],\n",
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       "      <!-- Sold Price -->\n",
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       "     </g>\n",
       "     <g id=\"text_26\">\n",
       "      <!-- Year built -->\n",
       "      <g style=\"fill: #262626\" transform=\"translate(123.082422 69.910369) scale(0.1375 -0.1375)\">\n",
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       "      <!-- Heating -->\n",
       "      <g style=\"fill: #262626\" transform=\"translate(132.522656 91.523715) scale(0.1375 -0.1375)\">\n",
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       "      </g>\n",
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       "    </g>\n",
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       "     <g id=\"text_28\">\n",
       "      <!-- Lot -->\n",
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       "     <g id=\"text_29\">\n",
       "      <!-- Bathrooms -->\n",
       "      <g style=\"fill: #262626\" transform=\"translate(113.429492 134.992108) scale(0.1375 -0.1375)\">\n",
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       "      </g>\n",
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       "    </g>\n",
       "    <g id=\"ytick_7\">\n",
       "     <g id=\"line2d_30\">\n",
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       "     </g>\n",
       "     <g id=\"text_30\">\n",
       "      <!-- Full bathrooms -->\n",
       "      <g style=\"fill: #262626\" transform=\"translate(88.980273 156.686021) scale(0.1375 -0.1375)\">\n",
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       "      </g>\n",
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       "    </g>\n",
       "    <g id=\"ytick_8\">\n",
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       "     <g id=\"text_31\">\n",
       "      <!-- Total interior livable area -->\n",
       "      <g style=\"fill: #262626\" transform=\"translate(30.895117 178.379934) scale(0.1375 -0.1375)\">\n",
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       "    </g>\n",
       "    <g id=\"ytick_9\">\n",
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       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_10\">\n",
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       "      <!-- Garage spaces -->\n",
       "      <g style=\"fill: #262626\" transform=\"translate(86.670703 221.770983) scale(0.1375 -0.1375)\">\n",
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       "    </g>\n",
       "    <g id=\"ytick_11\">\n",
       "     <g id=\"line2d_34\">\n",
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       "     </g>\n",
       "     <g id=\"text_34\">\n",
       "      <!-- Elementary School Score -->\n",
       "      <g style=\"fill: #262626\" transform=\"translate(24.776367 243.464896) scale(0.1375 -0.1375)\">\n",
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       "       <use xlink:href=\"#ArialMT-72\" x=\"422.460938\"/>\n",
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       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_12\">\n",
       "     <g id=\"line2d_35\">\n",
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       "     <g id=\"text_35\">\n",
       "      <!-- Elementary School Distance -->\n",
       "      <g style=\"fill: #262626\" transform=\"translate(7.2 265.158809) scale(0.1375 -0.1375)\">\n",
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       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_13\">\n",
       "     <g id=\"line2d_36\">\n",
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       "     </g>\n",
       "     <g id=\"text_36\">\n",
       "      <!-- Middle School Score -->\n",
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       "    </g>\n",
       "    <g id=\"ytick_14\">\n",
       "     <g id=\"line2d_37\">\n",
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       "     <g id=\"text_37\">\n",
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     "metadata": {},
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   ],
   "source": [
    "get_num_feature(train_data=train_data)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "可以看到，像Listed Price，Annual Tax amount等与Sold Price有很强的正相关性，但是Tax assessed value和Annual Tax amount之间也有很强的正相关性，大概是0.66倍，那这两列只取一列就行。\n",
    "\n",
    "进一步采用皮尔逊相关分析法对所有属性和房价进行分析："
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 82,
   "metadata": {},
   "outputs": [
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   "source": [
    "def spearman(df,cols):\n",
    "  spr = pd.DataFrame()\n",
    "  spr['feature'] = cols\n",
    "  spr['corr'] = [df[f].corr(df['Sold Price'], 'spearman') for f in cols]\n",
    "  spr = spr.sort_values('corr')\n",
    "  plt.figure(figsize=(6, 0.25*len(cols)))\n",
    "  sns.barplot(data=spr, y='feature', x='corr', orient='h')\n",
    "numeric_cols = train_data.select_dtypes(include=np.number).columns\n",
    "spearman(train_data,numeric_cols)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "以上是对数值型的数据分析，下面对字符型的数据进行分析"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 83,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Index(['Type', 'Parking', 'Bedrooms', 'Region', 'Flooring', 'Heating features',\n",
      "       'Laundry features', 'Parking features', 'Last Sold On', 'City'],\n",
      "      dtype='object')\n"
     ]
    }
   ],
   "source": [
    "obj_cols = train_data.select_dtypes(exclude=np.number).columns\n",
    "obj_cols = obj_cols.drop(['Address','Summary','Elementary School','Middle School','High School','State'])\n",
    "print(obj_cols)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "为了使得特征分析顺利进行，首先对字符串型的属性转换到数值型。\n",
    "\n",
    "转换的规则是：对于字符型属性，按照各个类型的属性的不同取值时房价的均值排高低，按此顺序从低往高，给属性的不同取值赋予1,2,3,4……，使得其变成数值型。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 84,
   "metadata": {},
   "outputs": [],
   "source": [
    "def trans_num(df,feat):\n",
    "  ordering = pd.DataFrame()\n",
    "  ordering['feat'] = df[feat].unique()\n",
    "  ordering.index = ordering.feat\n",
    "  ordering['spmean'] = df[[feat,'Sold Price']].groupby(feat).mean()['Sold Price']\n",
    "  ordering = ordering.sort_values('spmean')\n",
    "  ordering['ordering'] = range(1, ordering.shape[0]+1)\n",
    "  ordering = ordering['ordering'].to_dict()\n",
    "  for cat, o in ordering.items():\n",
    "    df.loc[df[feat]==cat, feat+'_T'] = o\n",
    "num_transformed = []\n",
    "for q in obj_cols:\n",
    "  num_transformed.append(q+'_T')\n",
    "  trans_num(train_data,q)"
   ]
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   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "经过转换后的属性全部为数值型，这时有利于进行分析。\n",
    "\n",
    "同样采用皮尔逊相关分析法对所有属性和房价进行分析。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 85,
   "metadata": {},
   "outputs": [
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   "source": [
    "spearman(train_data,num_transformed)"
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   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "根据以上讨论，去掉部分互相相关性强的属性，选择作为房价分析的特征有：\n",
    "'Bathrooms','Full bathrooms','Elementary School Score','High School Score','Listed Price','Tax assessed value','Type','Listed On','Bedrooms','Heating','Parking','City','Region','Cooling','Appliances included'"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "预处理"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 86,
   "metadata": {},
   "outputs": [],
   "source": [
    "train_data, test_data = load_data()\n",
    "all_features = pd.concat((train_data.iloc[:, 4:], test_data.iloc[:, 3:]))\n",
    "all_features = all_features[['Bathrooms','Full bathrooms','Elementary School Score','High School Score','Listed Price','Tax assessed value','Type','Listed On','Bedrooms','Heating','Parking','City','Region','Cooling','Appliances included']]\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 87,
   "metadata": {},
   "outputs": [],
   "source": [
    "all_features[\"Bedrooms\"].apply(convert_bedrooms)\n",
    "# 对于数字类型补充众数\n",
    "all_features[\"Bedrooms\"] = all_features[\"Bedrooms\"].fillna(2.0)\n",
    "all_features['Bathrooms'] = all_features['Bathrooms'].fillna(all_features['Full bathrooms'])\n",
    "all_features['Bathrooms'] = all_features['Bathrooms'].fillna(2.0)\n",
    "all_features['Full bathrooms'] = all_features['Full bathrooms'].fillna(all_features['Bathrooms'])\n",
    "all_features['Full bathrooms'] = all_features['Full bathrooms'].fillna(all_features['Full bathrooms'].mode())\n",
    "all_features['Elementary School Score'] = all_features['Elementary School Score'].fillna(all_features['Elementary School Score'].mode().values[0])\n",
    "all_features['High School Score'] = all_features['High School Score'].fillna(all_features['High School Score'].mode())\n",
    "all_features['Tax assessed value'] = all_features['Tax assessed value'].fillna(all_features['Listed Price'] * 0.66)\n",
    "all_features['Parking'].apply(convert_parking)\n",
    "all_features[\"Parking\"] = all_features[\"Parking\"].fillna(0)\n",
    "all_features['Heating'] = all_features['Heating'].apply(convert_heating)\n",
    "all_features['Appliances included'] = all_features['Appliances included'].apply(convert_appliance)\n",
    "all_features['Appliances included'] = all_features['Appliances included'].fillna(all_features['Appliances included'].mode().values[0])\n",
    "all_features['Cooling'] = all_features['Cooling'].fillna(all_features['Cooling'].mode().values[0])\n",
    "# 新特征提取\n",
    "all_features['Listed On'] = 2025  - pd.to_datetime(all_features['Listed On']).dt.year"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 88,
   "metadata": {},
   "outputs": [],
   "source": [
    "# 独热编码\n",
    "all_features = pd.get_dummies(all_features, dummy_na=True)\n",
    "all_features = all_features.fillna(0)\n",
    "all_features = all_features.astype('float32')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 89,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "'Radeon (TM) RX 550\\x00'"
      ]
     },
     "execution_count": 89,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# !pip3 install --user torch_directml\n",
    "import torch_directml\n",
    "import torch\n",
    "torch_directml.is_available()\n",
    "# torch_directml.device()\n",
    "torch_directml.device_name(0)\n",
    "# torch.cuda.is_available()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 90,
   "metadata": {},
   "outputs": [],
   "source": [
    "# device = torch.device(\"cuda\" if torch.cuda.is_available() else \"cpu\")\n",
    "# 划分训练集和测试集\n",
    "n_train = train_data.shape[0]\n",
    "train_features = torch.tensor(all_features[:n_train].values, dtype=torch.float32)\n",
    "train_labels = torch.tensor(train_data['Sold Price'].values.reshape(-1, 1), dtype=torch.float32)\n",
    "train_dataset = torch.utils.data.TensorDataset(train_features, train_labels)\n",
    "test_features = torch.tensor(all_features[n_train:].values, dtype=torch.float32)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 91,
   "metadata": {},
   "outputs": [],
   "source": [
    "# k, num_epochs, lr, weight_decay, batch_size = 5, 10, 5, 0, 256\n",
    "# train_l, valid_l = k_fold(k, train_features, train_labels, num_epochs, lr,\n",
    "#                           weight_decay, batch_size)\n",
    "# print(f'{k}-折验证: 平均训练log rmse: {float(train_l):f}, '\n",
    "#       f'平均验证log rmse: {float(valid_l):f}')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "训练log rmse：0.459188\n"
     ]
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      "text/plain": [
       "<Figure size 350x250 with 1 Axes>"
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   ],
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    "num_epochs = 10\n",
    "lr = 0.00001\n",
    "weight_decay = 3\n",
    "batch_size = 512\n",
    "train_and_pred(train_features, test_features, train_labels, test_data,\n",
    "                num_epochs, lr, weight_decay, batch_size)"
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